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Finding the Fourth Proportional to 56,757.71, 78,323.81 and 33,787.44

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Solution

The fourth proportional to 56,757.71, 78,323.81 and 33,787.44 is: 46,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,757.71 : 78,323.81 = 33,787.44 : x
  2. Step 2: Convert to fraction form
    56,757.71/78,323.81 = 33,787.44/x
  3. Step 3: Cross multiply
    56,757.71x = 78,323.81 × 33,787.44
  4. Step 4: Simplify right side
    56,757.71x = 2,646,360,862.01
  5. Step 5: Solve for x
    x = 2,646,360,862.01/56,757.71
  6. Step 6: Final answer
    x = 46,625.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.